A-mass-of-12kg-rests-on-a-smooth-inclined-plane-which-is-6m-long-and-1m-high-The-mass-is-connected-by-a-light-inextensible-string-which-passes-over-a-smooth-pulley-fixed-at-the-top-of-the-plane-to-a-

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Question Number 194563 by pete last updated on 10/Jul/23

$$\mathrm{A}\mathrm{mass}\mathrm{of}12\mathrm{kg}\mathrm{rests}\mathrm{on}\mathrm{a}\mathrm{smooth}\mathrm{inclined}$$$$\mathrm{plane}\mathrm{which}\mathrm{is}6\mathrm{m}\mathrm{long}\mathrm{and}1\mathrm{m}\mathrm{high}.$$$$\mathrm{The}\mathrm{mass}\mathrm{is}\mathrm{connected}\mathrm{by}\mathrm{a}\mathrm{light}\mathrm{inextensible}$$$$\mathrm{string}\mathrm{which}\mathrm{passes}\mathrm{over}\mathrm{a}\mathrm{smooth}\mathrm{pulley}$$$$\mathrm{fixed}\mathrm{at}\mathrm{the}\mathrm{top}\mathrm{of}\mathrm{the}\mathrm{plane}\mathrm{to}\mathrm{a}\mathrm{mass}\mathrm{of}$$$$4\mathrm{kg}\mathrm{which}\mathrm{is}\mathrm{hanging}\mathrm{freely}.\mathrm{With}\mathrm{the}$$$$\mathrm{string}\mathrm{taut},\mathrm{the}\mathrm{system}\mathrm{is}\mathrm{released}\mathrm{from}\mathrm{rest}.$$$$\mathrm{Using}\mathrm{Polya}\mathrm{problem}\mathrm{solving}\mathrm{approach}$$$$\mathrm{find}\mathrm{the}\mathrm{following}:$$$$\mathrm{a}.\mathrm{acceleration}\mathrm{of}\mathrm{the}\mathrm{system}$$$$\mathrm{b}\mathrm{i}.\mathrm{velocity}\mathrm{with}\mathrm{which}\mathrm{the}4\mathrm{kg}\mathrm{mass}\mathrm{hits}$$$$\mathrm{the}\mathrm{ground}.$$$$\mathrm{b}\mathrm{ii}.\mathrm{time}\mathrm{the}4\mathrm{kg}\mathrm{mass}\mathrm{takes}\mathrm{to}\mathrm{hit}\mathrm{the}\mathrm{ground}$$

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